Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Product and Quotient Rule for Exponents |
Grade: 6-b Lesson: S3-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
Step | Type | Explanation | Answer |
---|---|---|---|
1 |
Problem |
Expression: \$9^5 \times 9^8\$. |
|
2 |
Step |
Given expression |
\$9^5 \times 9^8\$. |
3 |
Step |
Apply the product rule for exponents:\$(a^m \times a^n) = a^m+n\$ |
\$9^5 \times 9^8 \$ ⇒ \$9^(5+8)\$ |
4 |
Step |
Add the exponents: |
\$9^5 \times 9^8 = 9^13\$ |
5 |
Step |
Therefore, the solved expression is \$9^13\$. |
|
6 |
Choice.A |
This option is incorrect because it incorrectly adds an extra 2 to the exponent sum, which should be 5 + 8 |
\$9^15\$ |
7 |
Choice.B |
This option is incorrect because it incorrectly adds an extra 4 to the exponent sum, which should be 5 + 8 |
\$9^17\$ |
8 |
Choice.C |
This answer is correct because the result of the expression is \$9^13\$ |
\$9^13\$
|
9 |
Choice.D |
This option is incorrect because it incorrectly subtracts 2 from the exponent sum, which should be 5 + 8 |
\$9^11\$
|
10 |
Answer |
Option |
C |
11 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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